Search a number
-
+
29121009101 is a prime number
BaseRepresentation
bin11011000111101111…
…110101010111001101
32210011111022112112122
4123013233311113031
5434114434242401
621213352142325
72050434331112
oct330757652715
983144275478
1029121009101
1111394061178
1257886979a5
132991246242
1415a37da909
15b5689c21b
hex6c7bf55cd

29121009101 has 2 divisors, whose sum is σ = 29121009102. Its totient is φ = 29121009100.

The previous prime is 29121009097. The next prime is 29121009107. The reversal of 29121009101 is 10190012192.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 25622404900 + 3498604201 = 160070^2 + 59149^2 .

It is a cyclic number.

It is not a de Polignac number, because 29121009101 - 22 = 29121009097 is a prime.

It is a super-3 number, since 3×291210091013 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (29121009107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 14560504550 + 14560504551.

It is an arithmetic number, because the mean of its divisors is an integer number (14560504551).

Almost surely, 229121009101 is an apocalyptic number.

It is an amenable number.

29121009101 is a deficient number, since it is larger than the sum of its proper divisors (1).

29121009101 is an equidigital number, since it uses as much as digits as its factorization.

29121009101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 26.

The spelling of 29121009101 in words is "twenty-nine billion, one hundred twenty-one million, nine thousand, one hundred one".